2x^2+12x+26=10

Solution for 2x^2+12x+26=10 equation:

Simplifying
2x2 + 12x + 26 = 10

Reorder the terms:
26 + 12x + 2x2 = 10

Solving
26 + 12x + 2x2 = 10

Solving for variable 'x'.

Reorder the terms:
26 + -10 + 12x + 2x2 = 10 + -10

Combine like terms: 26 + -10 = 16
16 + 12x + 2x2 = 10 + -10

Combine like terms: 10 + -10 = 0
16 + 12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 6x + x2) = 0

Factor a trinomial.
2((4 + x)(2 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-4, -2}